$150 m$ long train takes $10 s$ to pass a man who is going in the same direction at the speed of $2 k m p h$ . What is the speed of the train?

Question

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Answer 1

Let the speed of the train be $x k m p h$
Length of the train $= 150 m = \frac{1 5 0}{1 0 0 0} = \frac{3}{2 0} k m$
and time taken to cross the man = $10$ seconds = $\frac{1 0}{6 0 \times 6 0}$
Relative speed = $(x - 2) k m p h$
(Both are moving in same direction)
We know that,
$\frac{Length of the train}{Relative speed} =$ Time taken to cross the man
Relative speed = $\frac{3 \times 3 6 0}{2 0 \times 1}$
$x - 2 = \frac{3 \times 3 6 0}{2 0 \times 1}$
$x = 54 + 2 = 56 k m p h$
Hence, speed of train is $56 k m p h$ .

Answer 2

Let the speed of the train be

x k m p h

Length of the train

= 150 m = \frac{1 5 0}{1 0 0 0} = \frac{3}{2 0} k m

and time taken to cross the man =

10

seconds =

\frac{1 0}{6 0 \times 6 0}

Relative speed =

(x - 2) k m p h

(Both are moving in same direction)
We know that,

\frac{Length of the train}{Relative speed} =

Time taken to cross the man
Relative speed =

\frac{3 \times 3 6 0}{2 0 \times 1}

x - 2 = \frac{3 \times 3 6 0}{2 0 \times 1}

x = 54 + 2 = 56 k m p h

Hence, speed of train is

56 k m p h

.

$150 m$ long train takes $10 s$ to pass a man who is going in the same direction at the speed of $2 k m p h$ . What is the speed of the train?

$52 k m p h$

$56 k m p h$

$84 k m p h$

Data inadequate

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A man runs $10 k m$ in $30 m i n .$ What is his speed?

Rajdhini express moves at a speed of $150 k m / h$ . How long will it take to cover a distance of $15 k m$ ?

The distance between two stations is $240$ km. A train takes $4$ hours to cover this distance. Calculate the speed of the train.

Revise with Concepts

Speed

Understanding Uniform and Non-Uniform Motion

Basic Introduction to Velocity

Average Speed and Average Velocity

Instantaneous Velocity and Instantaneous Speed

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150 m long train takes 10 s to pass a man who is going in the same direction at the speed of 2 kmph. What is the speed of the train?

52 kmph

56 kmph

84 kmph

Data inadequate

A man walks on a straight road from his home to a market 3 Km away with a speed of 6 Km/h. The time taken by the man to go from his home to market equals

A train travels at a speed of 180 km/h. How far will it travel in 4 hours?

A man runs 10 km in 30 min. What is his speed?

Rajdhini express moves at a speed of 150 km/h. How long will it take to cover a distance of 15 km?

The distance between two stations is 240km. A train takes 4 hours to cover this distance. Calculate the speed of the train.

Revise with Concepts

Speed

Understanding Uniform and Non-Uniform Motion

Basic Introduction to Velocity

Average Speed and Average Velocity

Instantaneous Velocity and Instantaneous Speed

Velocity - Time Graph

$150 m$ long train takes $10 s$ to pass a man who is going in the same direction at the speed of $2 k m p h$ . What is the speed of the train?

$52 k m p h$

$56 k m p h$

$84 k m p h$

A man runs $10 k m$ in $30 m i n .$ What is his speed?

Rajdhini express moves at a speed of $150 k m / h$ . How long will it take to cover a distance of $15 k m$ ?

The distance between two stations is $240$ km. A train takes $4$ hours to cover this distance. Calculate the speed of the train.